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Bohr-type inequalities for classes of analytic maps and K-quasiconformal harmonic mappings
Molla Basir Ahamed, Sabir Ahammed
In this paper, a significant improvement has been achieved in the classical Bohr's inequality for the class of analytic self maps defined on the unit disk $ \mathbb…
Bohr-Rogosinski inequalities involving Schwarz functions
Sabir Ahammed, Molla Basir Ahamed
In this paper, we study Bohr's inequality and refined versions of Bohr-Rogosinski inequalities involving Schwarz functions. Moreover, we establish a version of multidimensional ana…
Generalized weighted composition operators on Hardy space
Molla Basir Ahamed, Vasudevarao Allu, Taimur Rahman
In this paper, we explore the complex symmetrical characteristics of weighted composition operators and weighted composition-differentiation operators $W_{u, v, k_1, k_2…
Complex symmetric weighted composition operators on the space
Molla Basir Ahamed, Taimur Rahman
In this paper, we introduce a new norm for , encompassing functions whose first and second derivatives belong to both the Hardy space $\mathcal{H}^2(\mat…
Operator-valued analogues of multidimensional Bohr-Rogosinski inequalities
Sabir Ahammed, Molla Basir Ahamed
In this article, we first establish operator-valued analogues of multidimensional refined Bohr inequality. Then we establish operator-valued analogues of multidimensional improved…
Generalized weighted composition-differentiation operators on weighted Bergman spaces
Molla Basir Ahamed, Taimur Rahman
Let be the class of all holomorphic functions in the unit disk . We aim to explore the complex symmetry exhibited by generalized weighted…